Solve 2[5 - \{4 + 3/2 * (2 - 2/3)\}]

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Question

$$2[5-\{4+\frac{3}{2}(2+\frac{-2}{3})\}]$$

Evaluate

$-2$

Solution Steps

Fraction $\frac{-2}{3}$ can be rewritten as $-\frac{2}{3}$ by extracting the negative sign.

$$2\left(5-\left(4+\frac{3}{2}\left(2-\frac{2}{3}\right)\right)\right)$$

Convert $2$ to fraction $\frac{6}{3}$.

$$2\left(5-\left(4+\frac{3}{2}\left(\frac{6}{3}-\frac{2}{3}\right)\right)\right)$$

Since $\frac{6}{3}$ and $\frac{2}{3}$ have the same denominator, subtract them by subtracting their numerators.

$$2\left(5-\left(4+\frac{3}{2}\times \frac{6-2}{3}\right)\right)$$

Subtract $2$ from $6$ to get $4$.

$$2\left(5-\left(4+\frac{3}{2}\times \frac{4}{3}\right)\right)$$

Multiply $\frac{3}{2}$ times $\frac{4}{3}$ by multiplying numerator times numerator and denominator times denominator.

$$2\left(5-\left(4+\frac{3\times 4}{2\times 3}\right)\right)$$

Cancel out $3$ in both numerator and denominator.

$$2\left(5-\left(4+\frac{4}{2}\right)\right)$$

Divide $4$ by $2$ to get $2$.

$$2\left(5-\left(4+2\right)\right)$$

Add $4$ and $2$ to get $6$.

$$2\left(5-6\right)$$

Subtract $6$ from $5$ to get $-1$.

$$2\left(-1\right)$$

Multiply $2$ and $-1$ to get $-2$.

$$-2$$

Show Solution

Factor